My initial thought would be this, without access to Dmx and it really all depends on the layout of the house and amount of windows. So, say there’s one big window, overcast would put you on the bluer end of the spectrum so straight tungsten might make sense or not, probly not. I’d initially think to do a heavy diffusion over the window (a big bounce with a lot of firepower would be better) but if not, heavy diffusion over the window and punch that 600d straight through. That would be your sunny ambient, then have a grip either wave a floppy in front or if you have the space you could put a floppy on a c stand and just turn it so when it’s blocking the light that’s your overcast and when it’s opened up all the way to the light that would be your sunny ambient.
them you can use your tungsten units with blue gel to get a base ambiance in the room.